Title :
Improving Algebraic Reconstruction Techniques with Nonlinear Iterating Algorithms
Author :
Li, Zunying ; Song, Yizhong
Author_Institution :
Dept. of Phys., Linyi Normal Univ., Linyi, China
Abstract :
A new improvement, named simple snlf-correlative algebraic reconstruction technique (SSART), was brought forwards on algebraic reconstruction technique (ART). With numerical simulation, it was applied to reconstructing a Non-ideal-bordered field in order to test its reconstructive effect. For contrast, three current representative ARTs including basic algebraic reconstruction technique (ART), simultaneous ART (SART) and modified SART (MSART) were simulated. The calculated results and reconstructive accuracy were discussed with mean-square error (MSE). As the result, the reconstructive accuracy was improved much by SSART. It´s MSE decreased by 96.4% from that of ART at the level of 10-5 magnitude. SSART was considered a very superior reconstruction technique that had many advantages. Its iterating program was simple, reconstructive accuracy high, iterating process convergent persistently. It´s a superior iterating reconstruction technique to our knowledge.
Keywords :
algebra; iterative methods; mean square error methods; algebraic reconstruction techniques; current representative ART; iterating program; iterating reconstruction technique; mean-square error; modified SART; non-ideal-bordered field; nonlinear iterating algorithms; numerical simulation; reconstructive accuracy; reconstructive effect; simple self-correlative algebraic reconstruction technique; simultaneous ART; Art; Numerical simulation; Subspace constraints; Testing; Algorithm; Iteration; Optical Computerized Tomography (OCT); Reconstruction;
Conference_Titel :
Natural Computation, 2009. ICNC '09. Fifth International Conference on
Conference_Location :
Tianjin
Print_ISBN :
978-0-7695-3736-8
DOI :
10.1109/ICNC.2009.303